343/338
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Ratio
343/338
Factorization
2-1 × 73 × 13-2
Monzo
[-1 0 0 3 0 -2⟩
Size in cents
25.4224¢
Name
sooty fox comma
Color name
3uuz32, thuthutrizo 2nd
FJS name
[math]\text{M2}^{7,7,7}_{13,13}[/math]
Special properties
reduced
Tenney height (log2 nd)
16.8229
Weil height (log2 max(n, d))
16.8441
Wilson height (sopfr(nd))
49
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2666 bits
Comma size
small
S-expression
S142 × S15
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
343/338, the sooty fox comma is a 13-limit interval of 25.422 cents, is the amount by which three 8/7s and two 13/8s fall short of two octaves. Alternatively, it is the amount by which three 7/4s exceed two 13/8s plus an octave.
It is tempered by 19edo.
Etymology
The comma is named after the Aleutian sooty fox sparrow, taxa #343388 on iNaturalist.
It was named by Budjarn Lambeth in 2024, but he retracted the name one day later out of fear that it would be poorly received due to its arbitrary nature. However, another editor added the name back two months later, which Lambeth and others did not oppose, so the name stuck.
See also
- Comma
- Sooty fox scale – equal divisions of 343/338